Multidimensional B-spline forms and their Fourier transforms

被引:0
|
作者
Bondarenko, AV
Svinyin, SF
Skourikhin, AV
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中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The paper is devoted to problem of spline approximation. A new method of nodes location for curves and surfaces computer construction in multidimensional spaces by means of B-splines is presented. The criteria which links a square-mean error caused by high frequency spline distortions and approximation intervals is determined and necessary theorem is proved. This method use a theory of entire multidimensional spectra and may be extended for the spaces of three, four and more variables.
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页码:907 / 908
页数:2
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